A compact finite difference scheme for the fourth-order fractional diffusion-wave system
A compact finite difference scheme for the fourth-order fractional diffusion-wave system
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DOI：
10.1016/j.cpc.2011.04.013
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发表时间：
2011-08
期刊：
影响因子：
--
通讯作者：
Xiuling Hu;Lu-ming Zhang
中科院分区：
文献类型：
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作者：
Xiuling Hu;Lu-ming Zhang
本文研究了四阶分数阶扩散波方程组的一种结合时间外推技术的高阶紧致差分格式。利用能量法同时分析了格式的可解性、稳定性和收敛性。数值实验表明，该紧致格式比Crank-Nicolson格式具有更高的精度和效率.
A high-order compact finite difference scheme combined with the temporal extrapolation technique is investigated for the fourth-order fractional diffusion-wave system in this paper. The solvability, stability and convergence of the scheme are analyzed simultaneously by the energy method. Numerical experiments show that the proposed compact scheme is more accurate and efficient than the Crank–Nicolson scheme.